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Finding the Fourth Proportional to 5,613, 8,420.72 and 2,150.25

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Solution

The fourth proportional to 5,613, 8,420.72 and 2,150.25 is: 3,225.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,613 : 8,420.72 = 2,150.25 : x
  2. Step 2: Convert to fraction form
    5,613/8,420.72 = 2,150.25/x
  3. Step 3: Cross multiply
    5,613x = 8,420.72 × 2,150.25
  4. Step 4: Simplify right side
    5,613x = 18,106,642.43
  5. Step 5: Solve for x
    x = 18,106,642.43/5,613
  6. Step 6: Final answer
    x = 3,225.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.